13437952 has 44 divisors (see below), whose sum is σ = 29329416. Its totient is φ = 6103040.

The previous prime is 13437937. The next prime is 13437953. The reversal of 13437952 is 25973431.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (13437953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10668 + ... + 11860.

Almost surely, 2^13437952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664708).

13437952 is an abundant number, since it is smaller than the sum of its proper divisors (15891464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13437952 is a wasteful number, since it uses less digits than its factorization.

13437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 13437952 is about 3665.7812264236. The cubic root of 13437952 is about 237.7448009572.

It can be divided in two parts, 134379 and 52, that added together give a palindrome (134431).

The spelling of 13437952 in words is "thirteen million, four hundred thirty-seven thousand, nine hundred fifty-two".